Find the direction and rate that F(x, y, z) = ln(1 + (x2 y3)z) increases most
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Question:
Find the direction and rate that F(x, y, z) = ln(1 + (x2 − y3)z) increases most rapidly at (1, 1, 3). Use a linear approximation at (1, 1, 3) to approximate the value of
F (0.95, 0.95, 3.01).
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